Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries

Abstract

The nested off-diagonal Bethe ansatz method is proposed to diagonalize multicomponent integrable models with generic integrable boundaries. As an example, the exact solutions of the su(n)-invariant spin chain model with both periodic and non-diagonal boundaries are derived by constructing the nested T Q relations based on the operator product identities among the fused transfer matrices and the asymptotic behavior of the transfer matrices. © The Authors.